Some Properties and Regions of Variability of Affine Harmonic Mappings and Affine Biharmonic Mappings
Joint Authors
Ponnusamy, Saminathan
Wang, X.
Chen, Sh.
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-02-10
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We first obtain the relations of local univalency, convexity, and linear connectedness between analytic functions and their corresponding affine harmonic mappings.
In addition, the paper deals with the regions of variability of values of affine harmonic and biharmonic mappings.
The regions (their boundaries) are determined explicitly and the proofs rely on Schwarz lemma or subordination.
American Psychological Association (APA)
Chen, Sh.& Ponnusamy, Saminathan& Wang, X.. 2010. Some Properties and Regions of Variability of Affine Harmonic Mappings and Affine Biharmonic Mappings. International Journal of Mathematics and Mathematical Sciences،Vol. 2009, no. 2009, pp.1-14.
https://search.emarefa.net/detail/BIM-501822
Modern Language Association (MLA)
Chen, Sh.…[et al.]. Some Properties and Regions of Variability of Affine Harmonic Mappings and Affine Biharmonic Mappings. International Journal of Mathematics and Mathematical Sciences No. 2009 (2009), pp.1-14.
https://search.emarefa.net/detail/BIM-501822
American Medical Association (AMA)
Chen, Sh.& Ponnusamy, Saminathan& Wang, X.. Some Properties and Regions of Variability of Affine Harmonic Mappings and Affine Biharmonic Mappings. International Journal of Mathematics and Mathematical Sciences. 2010. Vol. 2009, no. 2009, pp.1-14.
https://search.emarefa.net/detail/BIM-501822
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-501822
